Evaluate the expression and write your answers as a fraction in simplest form.-1/19+(-3/19)

Hello BinibiningDel!

[tex] \huge \boxed{\mathbb{QUESTION} \downarrow}[/tex]

[tex] \large \boxed{\mathfrak{Answer \: with \: Explanation} \downarrow}[/tex]

[tex] \tt \: 1) \: \: \: {x}^{2} - 49 \\ \tt \: = (x) ^{2} - ( 7) ^{2} \\ = \boxed{ \bf \: (x + 7)(x - 7) }[/tex]

Method used :-

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[tex] \tt 2) \: \: \: {a}^{2} + 10a+ 25 \\ = \boxed{\bf(a + 5)^{2} }[/tex]

Method used :-

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[tex] \tt \:3) \: \: \: {x}^{2} + x - 30 \\ = \tt ({x}^{2} - 5x) + (6x - 30) \\ = \tt \: x(x - 5) + 6(x - 5) \\ = \boxed{ \bf(x + 6)(x - 5)}[/tex]

Method used :-

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[tex] \tt \: 4) \: \: \: {4x}^{2} - {y}^{2} \\ = \tt \: (2x) ^{2} - (y) ^{2} \\ = \boxed{ \bf(2x - y)(2x + y)}[/tex]

Method used :-

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[tex] \tt \: 5) \: \: \: 8 {m}^{2} n ^{3} - 6mn ^{2} \\ = \tt \: 2\left(4m^{2}n^{3}-3mn\right) \\ = \boxed{ \bf \: 2mn\left(4mn^{2}-3\right) }[/tex]

Method used :-

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[tex] \tt \: 6) \: \: \: \tt \: 2 d ^ { 2 } + 5 d - 12 \\ = \tt \: \left(2d^{2}-3d\right)+\left(8d-12\right) \\ \tt \: = d\left(2d-3\right)+4\left(2d-3\right) \\ = \boxed{ \bf \: \left(2d-3\right)\left(d+4\right) }[/tex]

Method used :-

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[tex] \tt \:7) \: \: \: y ^ { 3 } + 27 \\ = \tt (y) ^{3} + ( {3})^{3} \\ = \boxed{ \bf\left(y+3\right)\left(y^{2}-3y+9\right) }[/tex]

Method used :-

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[tex] \tt \: 8) \: \: \: 20 b ^ { 3 } c ^ { 5 } + 35 b ^ { 4 } c ^ { 2 } \\ = \tt \: 5\left(4b^{3}c^{5}+7b^{4}c^{2}\right) \\ = \boxed{ \bf \: 5b^{3}c^{2}\left(4c^{3}+7b\right) }[/tex]

Method used :-

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Hope it'll help you!

ℓu¢αzz ッ

Answer:

18 km/h

Step-by-step explanation:

1. Convert 175 metres into km

1000 m = 1 km (divide by 1000)

175 ÷ 1000 = 0.175 km

so 175 m = 0.175 km

2. Convert 35 seconds into hours

60 seconds = 1 min

60 mins = 1 hour

3600 (60 × 60) seconds = 1 hour (divide by 3600)

35 ÷ 3600 = 0.00972...

3. Calculate the speed

speed = distance ÷ time

= 0.175 ÷ 0.00972...

= 18 km/h

Answer:

FOIL F-FIRST O-OUTSIDE I-INSIDE L-LAST

Step-by-step explanation:

[tex]2.6 = \times.2 \frac2.{68}{?} [/tex]

Answer:

The answer is definetly 245

Answer: 0.765

Step-by-step explanation:

“of” means “multiply”

5.1% can be written as 0.051

Multiply 15 by 0.051

0.765

Answer:

It should be 4.

Answer:

answer below

Step-by-step explanation:

5x⁴: degree even (4),  leading coefficient +5, rise to left and rise to right

x -> -∞   y -> ∞

x -> ∞    y -> ∞

Answer:

S = 180C²

18,000 lbs

Step-by-step explanation:

Assuming the table attached with C in inches and S in pounds, we see that the first differences in S are ...

 180, 540, 900

These are not constant, so the relation is not linear.

Second differences are ...

 360, 360

These are constant, so the relation is quadratic. With a short trial, we find that a suitable equation is ...

 S = 180·C²

__

The safe load for C=10 is then ...

 S = 180·10² = 18,000 . . . pounds

better?

Answer:

Step-by-step explanation:

[tex] - 2.5(4x - 4) = - 6 \\ - 2.5(4x) - 2.5( - 4) = - 6 \\ - 10x + 10 = - 6 \\ - 10x + 10 - 10 = - 6 - 10 \\ - 10x = - 16 \\ \frac{ - 10x}{ - 10} = \frac{ - 16}{ - 10} \\ x = 1.6 \\ [/tex]

Answer:

The slope of f(x) is equal to the slope of g(x). The y-intercept of f(x) is greater than the y-intercept of g(x).

Step-by-step explanation:

F(x) is already given to you on the graph. You need to plot the x and g(x) graph. (remember g(x) is just a fancy way of saying y)

Once this line is plotted, you will see that f(x) and g(x) are parallel to one another. G(x) is below f(x), so its y-intercept is lower.

Answer:

1,500

Step-by-step explanation

1. to divide 3 by 4,500.

after dividing 3 and 4,500 you get

1,500

The money he will make over a five-month period will be $7,500.

A ratio is a group of sequentially ordered numbers a and b expressed as a/b, where b is never equal to zero. When two objects are equal, a statement is said to be proportional.

A rec center worker procures a similar sum every month. In the wake of laboring for a considerable length of time, he procured $4,500.

The amount of money that he earns each month is given as,

⇒ $4,500 / 3

⇒ $1,500 per month

Then the money he will make over a five-month period will be given as,

⇒ $1,500 x 5

⇒ $7,500

The money he will make over a five-month period will be $7,500.

More about the ratio and the proportion link is given below.

https://brainly.com/question/14335762

#SPJ5

Step-by-step explanation:

the dimensions could be:

1) the height = 6 cm and the width = 9 cm

or

2) the height = 12 ft and the width = 18 ft

#1

[tex]\\ \sf{:}\dashrightarrow \dfrac{3}{4.5}=\dfrac{3(2)}{4.5(2)}=\dfrac{6}{9}[/tex]

#2

[tex]\\ \sf{:}\dashrightarrow 1(\dfrac{3}{4.5})=\dfrac{3}{4.5}[/tex]

Answer:

Step-by-step explanation:

The number is 1/2, and 1/2 squared is 1/4.

Answer:

.00000000025 = 2.5 * 10^-10

Looks like the last one

Can also write

2.5E-10

Answer:e=19

Step-by-step explanation:

3/5e-6 = -2/5e +20 -7 distributed multiplication into brackets

3/5e + 2/5e = 20-7+6 collected like terms

e=19

There are many ways to solve these types of questions. But I am going to use the fraction method.

Step 1: Set up a fraction.

Setting up a fraction, given the question will be the units on the same level. And the money earned will be a variable, "[tex]m[/tex]". It does not matter whether they are top or bottom.

[tex]\frac{8}{1} = \frac{m}{35}[/tex]

Step 2: Solve

[tex]\frac{8}{1} = \frac{m}{35}[/tex]

[tex]\frac{35m}{35}=8\cdot \:35[/tex]

[tex]m=280[/tex]

Therefore, Jake will earn $280.

Answer: B

Step-by-step explanation: The tomato grows more over time so it will be a positive..

The height of a tomato plant throughout the year shows a positive linear correlation coefficient option (B) is correct.

It is defined as the relation between two variables which is a quantitative type and gives an idea about the direction of these two variables.

[tex]\rm r = \dfrac{n(\sum xy)-(\sum x)(\sum y)}{\sqrt{{[n\sum x^2- (\sum x)^2]}}\sqrt{[n\sum y^2- (\sum y)^2]}}[/tex]

A. grade point average compared to the number of hours a student watches TV.

The grade points depend on the number of hours a student watches TV.

If watching time increases the grade point decreases.

B. the height of a tomato plant throughout the year

The height of a tomato and the number of years show a positive linear correlation.

C. a person's salary compared to the amount of education they have attempted:

The above situation represents an exponential regression.

D. SAT scores compared to hours spent studying

If the time spent in studying increases the SAT scores increases rapidly.

Thus, the height of a tomato plant throughout the year shows a positive linear correlation coefficient option (B) is correct.

Learn more about the correlation here:

brainly.com/question/11705632

#SPJ2

Answer:

x-intercept: (-4, 0)

y-intercept: (0, 6)

Step-by-step explanation:

4y - 6x = 24

To find the x-intercept, set the y value equal to 0.

4(0) - 6x = 24

Simplify by removing 4(0) since it just equals 0.

-6x = 24

Divide both sides of the equation by -6

x = -4

Since we set y equal to 0 and we know that the x value is -4, we can create a coordinate for the x-intercept of the equation.

(x, y) = (-4, 0)

Repeat the process for finding the y-intercept, but set x equal to 0.

4y - 6(0) = 24

4y - 0 = 24

4y = 24

Divide both sides of the equation by 4

y = 6

Write as a coordinate/intercept.

(x, y) = (0, 6)

Let me know if you have any questions!

Answer:

any equation with a 6 before the x

y=6x+b

Step-by-step explanation:

standard form is y=mx+b

m is the slope and b is y-intercept

Answer:

p = -5

Step-by-step explanation:

6(6p + 5) = -150

/6                  /6

6p + 5 = -25

-5             -5

6p = -30

/6      /6

p = -5

Answer:

340 inches

Step-by-step explanation:

25 yds = 900 in

60 + 80 + 60 + 80 = 280

280 x 2 = 560

900 - 560 = 340

Answer:

25%

Step-by-step explanation:

because from 80 to 100 is 20 and 20 is 1/4 of 80 and 1/4 to a decimal is .25

Answer:

80/100. That's 20% increase. When you hadd 8 and 2 you get 10.

Step-by-step explanation:

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The given equations are :

From the first equation, we get :

now, let's put the value of y as (5 - 2x) in second equation to find the value of x :

hence, value of x = 4, Plugging the value of x in second equation :

so, the required values are :

Answer:

x = 9

y = 6

Step-by-step explanation:

Let's set up equations:

x + y = 15

x - y = 3

Let's rearrange one of these equations to use the substitution method:

x - y = 3

Add y to each side:

x = y + 3

Substitute in for x:

x + y = 15

y + 3 + y = 15

Combine like terms:

( y + y ) + 3 = 15

2y + 3 = 15

Subtract 3 from each side:

2y = 12

Divide each side by 2:

y = 6

Substitute this in to find the other variable:

x + y = 15

x + 6 = 15

Subtract 6 from each side:

x = 9

Answer:

The y-coordinates in quadrant IV are negative. Because y represents profit, negative values of y signify not making a profit. That is, negative values signify loss. The points in quadrant IV represent the baseball team losing money.

Step-by-step explanation:

I took the assignment :).

Answer:

Its 12

Step-by-step explanation:

Ok done

Answer:

sorry i would help if i new let me see if i can find it somewhere

Step-by-step explanation: